已知:2x-y=1⼀3,xy=3,求4x^3y-4x^2y^2=xy^3的值

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2025-06-22 22:28:51
推荐回答(2个)
回答1:

已知:2x-y=1/3 xy=3,得

4x^3y-4x^2y^2+xy^3

=xy(4x^2-4xy+y^2)

=xy(2x-y)

=3×1/3

=1

提示:提取公因式,然后利用完全平方公式

回答2:

4x^3y-4x^2y^2+xy^3
=xy(4x^2-4xy+y^2)
=xy(2x-y)^2
=3×(1/3)^2
=1/3